2.5-D discontinuous Galerkin time-domain method for Maxwell equations

Abstract

In this work, a 2.5-dimensional discontinuous Galerkin time-domain(2.5D-DGTD) method with perfectly matched layer is proposed as a flexible tool to solve accurately electromagnetic problems that media are homogeneous in one direction. Two numerical examples are simulated to demonstrate the advantages of the proposed scheme, which are the coupling between an electric dipole and optical fiber, and the analysis of dispersion characteristics of a photonic crystal fiber. Compare with the traditional 2.5-dimensional finite-difference time-domain method. The results show that the 2.5D-DGTD is more realistic, especially for the simulation of curved shapes, the calculation memory is reduced by 10.4%, the calculation accuracy differs by 0.011%, the calculation time is shortened, and the calculation efficiency is increased by 74.9%.